[Stata Program]              
               
input id x y
 1 1  3
 2 1  5
 3 1  6
 4 1  9
 5 2  4
 6 2  6
 7 2  7
 8 2 10
 9 3  4
10 3  6
11 3  8
12 3 10
13 4  5
14 4  7
15 4  9
16 4 12
17 5  7
18 5 10
19 5 12
20 5  6
end

summarize y x
correlate y x
regress y x
regress, beta
predict p
predict r, rstu
list y p r
plot y x
plot r id
plot r p
plot r x
graph r, bin(7) normal
stem r
pnorm r



[Stata Output]

summarize y x

Variable |     Obs        Mean   Std. Dev.       Min        Max
---------+-----------------------------------------------------
       y |      20         7.3   2.617753          3         12  
       x |      20           3   1.450953          1          5  

correlate y x
(obs=20)

         |        y        x
---------+------------------
       y |   1.0000
       x |   0.4157   1.0000


regress y x

  Source |       SS       df       MS                  Number of obs =      20
---------+------------------------------               F(  1,    18) =    3.76
   Model |       22.50     1       22.50               Prob > F      =  0.0683
Residual |      107.70    18  5.98333333               R-squared     =  0.1728
---------+------------------------------               Adj R-squared =  0.1269
   Total |      130.20    19  6.85263158               Root MSE      =  2.4461

------------------------------------------------------------------------------
       y |      Coef.   Std. Err.       t     P>|t|       [95% Conf. Interval]
---------+--------------------------------------------------------------------
       x |        .75     .38676      1.939   0.068      -.0625527    1.562553
   _cons |       5.05   1.282738      3.937   0.001       2.355068    7.744932
------------------------------------------------------------------------------

regress, beta

  Source |       SS       df       MS                  Number of obs =      20
---------+------------------------------               F(  1,    18) =    3.76
   Model |       22.50     1       22.50               Prob > F      =  0.0683
Residual |      107.70    18  5.98333333               R-squared     =  0.1728
---------+------------------------------               Adj R-squared =  0.1269
   Total |      130.20    19  6.85263158               Root MSE      =  2.4461

------------------------------------------------------------------------------
       y |      Coef.   Std. Err.       t     P>|t|                       Beta
---------+--------------------------------------------------------------------
       x |        .75     .38676      1.939   0.068                   .4157055
   _cons |       5.05   1.282738      3.937   0.001                          .
------------------------------------------------------------------------------

predict p
(option xb assumed; fitted values)

predict r, rstu

list y p r

             y          p          r 
  1.         4        7.3  -1.423003  
  2.         5       8.05  -1.323221  
  3.         6        8.8  -1.261847  
  4.         3        5.8  -1.261847  
  5.         4       6.55   -1.08954  
  6.         7        8.8  -.7897767  
  7.         6        7.3  -.5343365  
  8.         7       8.05  -.4361658  
  9.         5        5.8  -.3459558  
 10.         6       6.55  -.2275458  
 11.         6        5.8   .0862049  
 12.         7       6.55   .1860802  
 13.         8        7.3   .2860193  
 14.         9       8.05   .3942262  
 15.        10        8.8   .5212322  
 16.        10        7.3   1.142008  
 17.         9        5.8   1.463241  
 18.        12        8.8   1.463241  
 19.        10       6.55   1.518778  
 20.        12       8.05   1.776766

plot y x

      12 +  
         |                                                 *               *
         |  
         |  
         |  
         |  
         |                 *               *                               *
         |  
         | *                                               *
         |  
    y    |                                 *
         |  
         |                 *                               *               *
         |  
         | *               *               *                               *
         |  
         | *                                               *
         |  
         |                 *               *
         |  
       3 + *
          +----------------------------------------------------------------+
                1                        x                               5


plot r id

 1.77677 +  
    S    |                                                   *
    t    |  
    u    |           *            *                                    *
    d    |  
    e    |                                      *
    n    |  
    t    |  
    i    |  
    z    |                                                          *
    e    |                                  *             *
    d    |                     *
         |       *
    r    |                 *
    e    |    *
    s    |                               *            *
    i    |  
    d    |                                                      *
    u    |  
    a    |              *
  -1.423 + *                         *             *                       *
          +----------------------------------------------------------------+
                1                       id                             20


plot r p

 1.77677 +  
    S    |                                                *
    t    |  
    u    | *              *                                               *
    d    |  
    e    |                                *
    n    |  
    t    |  
    i    |  
    z    |                                                                *
    e    |                                *               *
    d    |                *
         | *
    r    |                *
    e    | *
    s    |                                *               *
    i    |  
    d    |                                                                *
    u    |  
    a    |                *
  -1.423 + *                              *               *               *
          +----------------------------------------------------------------+
              5.8                  Fitted values                       8.8


plot r x

 1.77677 +  
    S    |                                                 *
    t    |  
    u    | *               *                                               *
    d    |  
    e    |                                 *
    n    |  
    t    |  
    i    |  
    z    |                                                                 *
    e    |                                 *               *
    d    |                 *
         | *
    r    |                 *
    e    | *
    s    |                                 *               *
    i    |  
    d    |                                                                 *
    u    |  
    a    |                 *
  -1.423 + *                               *               *               *
          +----------------------------------------------------------------+
                1                        x                               5
                
                
graph r, bin(7) normal



stem r

Stem-and-leaf plot for r (Studentized residuals)

r rounded to nearest multiple of .01
plot in units of .01

 -1** | 42,32,26,26,09
 -0** | 79,53
 -0** | 44,35,23
  0** | 09,19,29,39
  0** | 52
  1** | 14,46,46
  1** | 52,78

pnorm r